The manufacturer of a certain candy states that 15% of the candies are brown, 15% yellow, 25% red, 20% blue, 10% orange, 15% green. A student randomly selected a giant bag of candy and counted the number of each color. The results are in the table below. Does the candy follow the stated distribution? (a) Complete the table. Report all answers accurate to 2 decimal places. Color Brown Yellow Red Blue Orange Green Frequency Expected Frequency 19 16 11 18 20 (b) Select the null and alternative hypotheses. Ho: The colors are independent Ha: The colors are dependent О На: Рв-0.15, Р-0.15, Pr-0.25, Рв-0.20, Ро-0.1, Рс-0.15, Ha: at least one proportion is different 1 O Họ: PB- = Py = Pr = PB1 = Po = Pc 6 Hạ: at least one proportion is different (c) What is the chi-square test-statistic for this data? Round your answer to 3 decimals. x? = (d) What is the P-Value? Round your answer to 4 decimals. P-Value = (e) For significance level alpha 0.05, what would be the decision of this hypothesis test? O Fail to reject the Null Hypothesis O Reject the Null Hypothesis (f) Select the conclusion. O There is not sufficient evidence to support that the claim that at least one proportion is different. Therefore, the candy follows the stated distribution O There is sufficient evidence to support the claim that at least one proportion is different. Therefore, the candy does not follow the stated distribution.
The manufacturer of a certain candy states that 15% of the candies are brown, 15% yellow, 25% red, 20% blue, 10% orange, 15% green. A student randomly selected a giant bag of candy and counted the number of each color. The results are in the table below. Does the candy follow the stated distribution? (a) Complete the table. Report all answers accurate to 2 decimal places. Color Brown Yellow Red Blue Orange Green Frequency Expected Frequency 19 16 11 18 20 (b) Select the null and alternative hypotheses. Ho: The colors are independent Ha: The colors are dependent О На: Рв-0.15, Р-0.15, Pr-0.25, Рв-0.20, Ро-0.1, Рс-0.15, Ha: at least one proportion is different 1 O Họ: PB- = Py = Pr = PB1 = Po = Pc 6 Hạ: at least one proportion is different (c) What is the chi-square test-statistic for this data? Round your answer to 3 decimals. x? = (d) What is the P-Value? Round your answer to 4 decimals. P-Value = (e) For significance level alpha 0.05, what would be the decision of this hypothesis test? O Fail to reject the Null Hypothesis O Reject the Null Hypothesis (f) Select the conclusion. O There is not sufficient evidence to support that the claim that at least one proportion is different. Therefore, the candy follows the stated distribution O There is sufficient evidence to support the claim that at least one proportion is different. Therefore, the candy does not follow the stated distribution.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The manufacturer of a certain candy states that 15% of the candies are brown, 15% yellow, 25% red, 20%
blue, 10% orange, 15% green. A student randomly selected a giant bag of candy and counted the number of
each color. The results are in the table below. Does the candy follow the stated distribution?
(a) Complete the table. Report all answers accurate to 2 decimal places.
Color
Brown
Yellow
Red
Blue
Orange
Green
Frequency
Expected
Frequency
19
9
16
11
18
20
(b) Select the null and alternative hypotheses.
Ho: The colors are independent
Ha: The colors are dependent
O Ho: PBr=0.15, Py=0.15, PR=0.25, PBi=0.20, Po=0.1,Pc=0.15,
Ha: at least one proportion is different
1
O Họ: PBr = Py = Pr = PB = Po = Pe
|
6
Ha: at least one proportion is different
(c) What is the chi-square test-statistic for this data? Round your answer to 3 decimals.
(d) What is the P-Value? Round your answer to 4 decimals.
P-Value -
(e) For significance level alpha 0.05, what would be the decision of this hypothesis test?
O Fail to reject the Null Hypothesis
O Reject the Null Hypothesis
(f) Select the conclusion.
O There is not sufficient evidence to support that the claim that at least one proportion is different.
Therefore, the candy follows the stated distribution
O There is sufficient evidence to support the claim that at least one proportion is different. Therefore,
the candy does not follow the stated distribution.
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